What is the Least Common Multiple of 57616 and 57626?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 57616 and 57626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57616 and 57626, than apply into the LCM equation.

GCF(57616,57626) = 2
LCM(57616,57626) = ( 57616 × 57626) / 2
LCM(57616,57626) = 3320179616 / 2
LCM(57616,57626) = 1660089808

Least Common Multiple (LCM) of 57616 and 57626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57616 and 57626. First we will calculate the prime factors of 57616 and 57626.

Prime Factorization of 57616

Prime Factorization of 57626

Now multiplying the highest exponent prime factors to calculate the LCM of 57616 and 57626.

LCM(57616,57626) = 2⁴ × 13¹ × 277¹ × 28813¹
LCM(57616,57626) = 1660089808